Question

Which events are independent?

Choose all that apply.

picking marbles from a bag without replacing any of them
picking marbles from a bag with replacing any of them
picking cards from a deck without replacing any of them
rolling a die several times

Answer 1

B and D

Explanation:

Answer 2

If you are picking marbles/cards from a bag/deck without replacing them, these would be dependent events because one pick would affect the probability of getting the other components in the bag/deck. If you pick a marble from a bag and then put that marble back in the bag, then it would be an independent because the probabilities are staying consistent.

So, the second and fourth options would be independent events.